The large-$x$ limit is only zero if $a+b>3/2$:
$$_1{F}_2({1}; {a, b}; -x^2/4)=$$
$$=\frac{2^{a+b}\Gamma (a) \Gamma (b)}{4\sqrt\pi}   \left[\sin \left(\tfrac{1}{2} \pi  (a+b)-x\right)-\cos \left(\tfrac{1}{2} \pi  (a+b)-x\right)\right]x^{-a-b+3/2}+{\cal O}(1/x^2)$$

For example, when $a=b=1/2$ the amplitude of the oscillations increases as $\sqrt x$ (left plot), and when $a=b=3/4$ the amplitude does not decay at all (right plot):

<IMG SRC="https://ilorentz.org/beenakker/MO/1F2abonehalf.png" WIDTH="300">
<IMG SRC="https://ilorentz.org/beenakker/MO/1F2abthreequarters.png" WIDTH="300"/>